My advice would be to watch the Easy Composites tutorial several more times, and then practice on smaller parts first. You're going to make mistakes, and you're going to waste time and material, I virtually guarantee it. It's better that you make that waste on a smaller scale, otherwise you are going to find yourself extremely disappointed again.
Secondly, forget about the autoclave. I'm extremely surprised the guys you took your part to were willing to give it a go, because it was never going to work. Unless you used a very special polyester tooling system, it can't handle anywhere near the heat let alone the pressure. A typical polyester system can only handle around 60 degrees C, and won't handle much pressure. Your typical vinyl ester rapid tooling systems may be able to go as high as 120 for a couple of pulls before they start to deteriorate, and you can get epoxy tooling systems that will handle the heat but not the pressure. For autoclave use, you need a suitable mould material - metal, pre-preg, etc. You can get special hand laminating tooling systems for pre-preg use as well, but wet-laying a tool for autoclave use is not an easy task. All of these materials are also ludicrously expensive, and they will all require a post-cure prior to use. I don't know of any resin systems that can go straight off a room temp cure to 130+ degrees without any sort of post-cure, it just doesn't work like that. You don't need an autoclave to get very high quality parts, certainly for cosmetic perfection it isn't necessary at all. You may like to use an out-of-autoclave pre-preg for some of your parts, but it tends to be more suited to smaller more complex components. A roof is not something that needs pre-preg at all, it is much more suited to infusion.
I would suggest ditching the old mould as well. If you really want a perfect part, then your mould needs to be perfect. If you have suspicions that the mould is distorted, in addition to a lot of surface repair work to do... It's a recipe for disaster. You will spend less time and effort in rebuilding the mould, ideally using Easy Composites Unimould system if you can because they will be able to give you the support you need to get a perfect result. If you can't get Unimould, then try for something similar - a vinyl ester tooling gelcoat and coupling coat, with a polyester tooling resin for the bulk of the laminate is ideal. Lots of companies make such systems, so look for Reichold or Ultratec etc. Being based in Sweden, I'm sure you can get something quite easily. I would recommend not cheaping out on the mould; buy the quality materials to get the quality results you want, I really can't stress that enough...
Once you have your mould sorted (and again, I would suggest starting somewhere else with something smaller), the rest is easy enough. I am a big fan of in-mould coatings like the gelcoat that Easy Composites use in their video, provided your mould is perfect and you are using a chemical release agent like Easylease. If you are using PVA release agent or your mould isn't the exact surface finish that you want on your finished part, then I wouldn't use an in-mould coating or gelcoat - the point of using the in-mould coating is to be able to pull the part out of the mould with an absolutely perfect surface. If you need to do any refinishing work to get the finish you want, then you may as well put that work into getting the part clear coated. You also need to have the facilities to spray the coating in-mould, it can't be brushed in. So if you can't spray, you're better off not using a gelcoat and taking it to a professional spray painter to get it clear coated. In all honesty, if you are only making one part, it is going to be easier to get it professionally clear coated.
As for your layup schedule for the actual component... I would worry about getting the mould sorted first. Practice with other parts first, get an idea of what infused carbon fibre feels like. 5 layers of 200g is going to give you a component around 1-1.2mm thick - Not thick enough if the roof needs to have any sort of structure, and you may want to check your local regulations on what you are allowed to have on a street car. I know that here, any composite body panels must be a minimum of 3mm thick. 3mm is a good thickness for most street car body work anyway, so I would recommend aiming for that. The lightest (and cheapest, compared to solid carbon) way to do it will be with a core like Soric or 3D PET core (I prefer the 3D PET core myself, Soric is heavy). Yes, if you use a small section of Soric then it will print through to the surface, especially on the edges. Avoid this by building up the laminate thickness so that it is equal with the thickness of the Soric (so around an additional 8 layers of 200g around the edges of the Soric). The use of heavier fabrics is also something I would recommend - again, if you play around with smaller parts first you will learn how to get it to conform around tight corners.
I have no doubt that Easy Composites will be able to provide you with the support, advice and materials that you need to get a good result, so have a chat to them and listen to what they have to say. The rest is easy!