That's good you already have that. So yeah, just hook it up for your shop lights. Even though they are LED shop lights, 5 of them together is probably over 200watts. I just looked on Amazon and a similar one is 45watts each. You'll won't even get 3 hours of usage at night with a 50AH lithium battery.

I have these 12volt LED lights for my small shed. It's a low ceiling (6-7 feet) and enough light for me to look for stuff at night. I don't know if they'd be bright enough if they were hung more than 8 feet high though. What's nice about them is they are hooked up directly to my charge controller and doesn't need the inverter which is much more efficient and only draw about 6watts each.