There are a few flaws with your program, and your thinking.
Forget about what you do at work. You should train the body intelligently and with the purpose of getting stronger, and staying injury free.
Avoiding back and leg training is just going to set you up for injuries down the road. You should be balance out your pressing and pulling exercises. Also with that much pressing, you will end up with shoulder issues if you don’t do some external rotation work.
You should also think about including some sort of single leg lower body exercise (lunge, step up, bulgarian split squat, etc).
You don’t have to go heavy on your back work at first, just start training it with lighter weights, and focus on the form. As strength increases, you can bump up the weight. The stronger your back and legs are, the easier work will be. It shouldn’t be the other way around.
The way the program is written, it looks like you are only interested in training the chest, biceps and traps/delts. If you don’t know any better, then do some research. If you do know better, then make the corrections. Your body will look out of proportion, and you will plateau early with this program.
If you are serious about this, then think about what has been suggested. Rather than making excuses, make the changes.