Get up on roof anyway, so what should I inspect while I’m up there

The diagram you showed is fine. That is really all you need to do. I might add a small strip of 1X2 along the wall as a nailer for the soffit. The only alternative would be substituting a vented soffit panel for the solid soffit. Using a vented soffit would help a little in exiting hot air and give a bit of ventilation. Best used with a ridge vent for really good ventilation, but better than nothing if used alone.

Congrats on your pending venture, a new home! I am a certified Home Inspector and have a few ideas for you.

Actually, there are several items that a good home inspector is going to look at that are not on your list. Keep in mind that an inspector is going to be able to render an opinion on the condition of the systems and structure of the house. Other items should include, chimneys, flashings, gutters, windows, screens, sills, exterior fixtures/lighting, attics, vent fans, proper wiring, GFIs, water heater/temp, heating systems, fireplace dampers, window operation, door operation and weather stripping, step and railing safety, and the list goes on. Extra inspections may include, radon, water, septic systems, wells,or pools.

If you want a good reference and sample checklists, I recommend the book The Complete Book of Home Inspection by Norman Becker, PE. There are several good books out there, but this one is simple and to the point.

When you do find a property that you want to make an offer on, be absolutely sure you include a contingency, or condition of sale, that calls for a professional home inspection, and that the inspection results meet with your approval. In other words, if any discrepancies or findings are in the report, you can get your deposit back and walk, or negotiate with the owner for a reduction in the amount of your offer to professionally repair the problems.

The average cost of an inspection in my area for a home under 4000Sq feet and less than 100 years old is about $350.00. Under no circumstances should you not have a professional inspection and the associated contingencies in your offer to purchase. Once you make an offer, a DIY inspection is not legally enforceable, and you will have no recourse and unable to walk away with a refund of your earnest money deposit.