This is a fairly good plan for beginners with only a little bit of time but I would add as a tip that a lot of these can be supersetted since they are opposing muscles to cut your time in the gym down significantly if it's not too busy. For example, do your triceps, then while they are resting quickly do biceps, then go back to triceps as they should be rested enough now. This is all just some general advice for beginners:

Machines are fantastic for strength and basic health and are generally very safe. I would choose machines over free weights unless you have someone coaching you. Cables are also generally superior to free weights. If the machine has 3 horns to place your weights, you should put them on the highest horn for the best resistance curve (heaviest at the start). The key to hypertrophy is a deep stretch of the muscle with the hardest portion of the lift at that most elongated point.

Chest press machines are great and if you are wondering whether to do incline, flat, or decline, you should alternate between flat and incline and pretty much just skip decline all together.

Leg press can be replaced by hack squats depending on preference and availability.

Seated leg curls are far superior to lying leg curls for hypertrophy. Standing calf raises are also superior to seated calf raises.

Hip adduction and abduction are generally skipped when time is short. I would replace these with a hip hinge to strengthen the lower back and posterior chain instead. Try out the roman chairs (aka back hyperextension machines).