OK, so you're in much better shape than the average 62 YO I see these days.
2 strength sessions each week should be fine, maybe focus on the deadlift as your main lift and cycle the intensity on the other lifts. If you do a fairly regular routine with the deadlifts at around 75% of your max (calculated from a 1rm calculator) and then have a heavier day and lighter day on the other lifts, you'll make some really good gains and not push yourself into over training.
Just a rough template for an example
Day 1 - deadlifts, heavy press (not too heavy) and around 60% of the reps you can do for the pullups, pushups
Day 2 - deadlifts, light press and pullups somewhere around 80% max reps and pushups
There's no need to use that exact template, just keep in mind that you don't have to lift near your max every session to make gains. If you are adding TGU's, there's no need to go heavy there, just think of that as loaded mobility work. They'll give you a great deal of benefit even at a low weight. I've seen 20 year olds struggle with 16kg on the TGU, so even a 12kg can be helpful there until you get a bit a practice under your belt.
Some of the others could have some better suggestions, so wait to see what they say.
Good luck with it
@P3mit