We just bought our first house 3 weeks ago. The house was constructed in 1980 and is a modified/blunted A-frame design where the A-frame portion is skinned in SIPs. I'm including two pictures from the original real estate listing as I haven't yet taken any pictures of my own. The house is sort of cross-shaped when viewed from above, with one axis being much shorter than the other.
The first picture shows the view looking at one of the short ends, with the long axis visible behind.

The second picture shows an interior view down the long axis of the house showing the repeated, widely spaced A-frames that support the SIPs.

Upon the pre-sale inspection of the house, we noticed that one of the short portions of the cross (the one in the picture actually) had a BIG sag in the roof and the inspector said it was so soft up there he didn't feel safe walking out to the center of the sagging area. A portion of the roof (not the one with the current problem) had been repaired in the past, according to the seller, so we called that same person for an estimate to repair this problem. We got a quote, negotiated a reduction in the cost of the house, and bought it. Since then, we've started the remodeling we wanted to do to the inside of the house and have found out that the original builder (we think the first homeowner, not a professional) was an absolute idiot and LOTS of things are wrong with the house. The roofer got the repair/replacement SIP delivered a few weeks ago, but we're on our 20th consecutive day of rain here, so it hasn't been installed. The longer I've sat here and looked at the SIP, the more concerned about the way this repair is going to be done (and by extension the way the past repair was done) I've become. The contractor says this small SIP panel sitting in my workshop is enough to repair the big spongy spot on the northeast roof as well as something else he saw on the southwest roof. The problem with that is that the SIP he ordered it tiny. It's perhaps 6x4 feet at most. There's no way he's replacing the entire panel up there. It's like he's planning on cutting a window in the existing SIP and patching this in somehow.
1) Is inserting a "cookie cutter" patch like this a valid way to repair a water-damaged SIP?
1a) What questions should I ask the contractor to find out if he knows what he's doing with SIPs or if he's just treating them as though they were a "normal" roof?
2) As far as I can tell, the construction of this house is the interior paneling (plywood with texture), the SIP, then tar paper, and finally shingles. From what little I've read, that's guaranteed to cause problems, right? This would certainly be backed up by the fact that there have been multiple roof failures since 1980.
3) All the SIP manufacturers, in their FAQ about repairing SIPs, say a Structural Engineer must be consulted. Is this true? If so, how do I go about finding a Structural Engineer that knows what they're doing with SIPs?
We're at our wit's end here, I'm not sleeping well anymore and my wife is getting sick every time she eats. It's our first house and we were so happy to get out of my family's basement but now we're terrified we're looking at 10s of thousands of dollars we have no way to come up with just to get this place safe to live in.