I agree with everyone here.
1. If you are not lighting, use expanding foam to provide some internal support. If lighting, you should build some type of armature to support the plastic and run wiring.
2. I would also recommend taking a thin strip of styrene along the edge of 1/2 of the parts in order to create a lip. This lip will allow you to mate two parts together at the seams and also help give it stability.
Vacuform kits can be difficult, but if it was made from a good master and the plastic is of decent thickness (anything lower than .040 is too thin in my opinion).
It also depends on if the mold used in vacuforming were negative/female molds or male molds. Female molds, the plastic is sucked into the mold and typically produces sharper detail models. Male molds the plastic is stretched over the top of a master leading to lesser surface detail quality and potentially thin spots where the plastic stretched too far.
Just looking at the pictures, I believe yours were made from female/negative molds, so count yourself lucky.
Just take your time. Invest in some Apoxie Scuplt (you can get some at
www.starshipmodeler.com). It is a modelers best friend. I would also get some Bondo Glazing Spot Putty (single tube, not 2 part). This is great for filling in seams. Just be careful not to put too much on at a time, because it could weken the plastic. Just use a little at a time, sand, and then reapply if needed.
Good luck and be sure to post progress. PM me if you have any questions.
Scott