Mostly engine oil leaks, some tranny.
Tranny on my 51 Deluxe was leaking a bit once I got it home. She'd been a garage/trailer queen for nigh on 20 years since her restoration...so the seals had stiffened up, dried out a bit. Last summer we did some driving, took her on a few decent distance trips...seemed to soften up those seals, cause them to do their job again as the grand majority of the leaking subsided.
Don't know how much your car has been driven recently, but putting it through its paces for a summer, you may find a number of those leaks will seal themselves as the old seals heat up/cool down and become more pliable again.