Routine help - obese climber

I'm a fat bastard but not weak and desperately trying to lose weight. I've spent theast 5 years as a paramedic eating shit so I'm playing catch-up.

I also super fucking hate benchpress

Weight 105kg Height 5ft 8 Male

Current routines

Workout and climbing - - doing this twice a week

• 1hr climbing + warmup
• trap deadlift 130kgx6x5 or goblet squats
• 5 sets pull-ups or TRX rows
• 5 sets shoulder press or 5 sets decline pushups
• finger training 16mm board

Weights only day

• squats
• seated rows - I actually have a problem with this that I have maxed out the machines in both gyms I use, so might need to increase reps or change routine
• lat pulls down
• machine chest press
• ?? Something else

Cardio or reformer pilates day

So 4 days a week exercising and hopefully 15-20k walking on most days I am not in gym

Is this a stupid routine? Am I totally missing anything?