Russel, at the very least, remove those two single pole breakers tied together with wire and replace it with a single two pole breaker. I've seen many situations where that wire failed to work and one leg was left hot and it fed back through the dead leg. If you decide to upgrade the feeders to your garage, buy the wire and match the breaker accordingly. This
link can help you figure out what you need.
Thanks for the link
Is that 60A 2-pole breaker feeding the sub panel? I've never heard of a 60A feed for lights and I've been doing this for 40 years.
The 50A breaker for the AC unit is most likely too large. Even back in the 70s, when I first started in the trades, AC units required nothing more than 40A breakers. The breaker needs to be properly sized to protect not only the wire, but the condenser too.
I'll check the unit to see what it requires
What's the distance from the house to the garage?
Approx 40' from the panel
I've worked on systems worse than this but whenever I go into an old installation I check everything before adding anything. Too many DIYers tackle electrical installations they are not qualified to do just to save a few bucks, thinking nothing about their safety or the safety of their family. Occasionally I volunteer to do electrical work for the needy. We we fix safety issues and don't charge for our services. Maybe there's something like that in your area and they would be willing to look at your system and see if it's safe.
I got a name of a reasonable *licensed* guy to come over and just check it and we'll go from there