Regarding the door, my first inclination was the outside door open switch. It had forgotten abouth the door wiring issue that crops up on some of the cars. I would still look at exterior door switch first, as it's the easiest to deal with. Simply remove the interior door card and access panel for door switch. Pull the wires off the switch. Get an voltmeter on the switch to test it. I haven't dealt with door wiring for a while, but if memory serves me, the switch circuit is normally open and depressing the button closed the circuit. Do a continuity test on the switch, if you get continuity without button being depressed, you probably have a bad switch. If you get continuity off the bat, I would then depress the button to see if continuity is broken. If that's the case, the circuit is normally closed. If exterior door swtich is determined to be good, I would then check the interior door handle switch. (Run same tests as it works in same manner).
If both switches are good, I would then move onto door wiring harness, although the more I have though about it, the door wiring harness failures I remember reading about lead to intermittent operation, meaning sometimes swtiches would work and other times they wouldn't. If switches are in fact normally open circuits, if the door wiring harness has a partially torn/damaged wire, it should still not open door automatically as the circuit would still be open since both internal and external door switches would be keeping the circuit open.
As far as the oil drip.....if they just changed the oil, I am willing to bet that there is some residual oil on the frame rails when they removed the oil filter that didn't get wiped up. Only way to be certain would be to get under the car and check. I would also check to make sure the oil filter is on nice and tight. Sometimes if they aren't tightened enough, they can back out a little bit causing oil to drip off filter.
As for the wheels, as these cars were hand built, there are some variances in the way the hoods operate. I have experienced some Gen 2 hoods tahat felt as if they were going to fall off the car, to hoods that are so tight and hard to open that you would swear the front end had been wrecked. Most guys that have 19 inch or larger diameter front wheels automatically turn the front wheels to get necessary hood clearance to avoid hitting wheels.