I'm not a weights expert but I like cardio so I'll just stick to advice for that and leave other details to more weights minded people.

A bit of jogging would be good. Start slow and easy then build up the intensity gradually. If you kill yourself initially you might injure yourself and you won't enjoy it as much.

The key is keeping it fun so you always want to do it - then pushing hard becomes easy when your body is ready.

Need to stretch to avoid killing yourself too much especially if you haven't done much running.

Once you have a base you can start sprints etc but aim for getting comfortable running 30 mins regularly maybe including some faster bursts during the run and a few hills.

Vary the runs (pace and route) to keep them interesting. For the next two months I think one run every 2 days between 30 and 40 minutes would be a good start. It'll help you get closer to your competitive weight and get used to having your heart rate up high.

I'm always surprised when I wear my heart rate monitor just how aerobic boxing is compared to many other sports. It's not just about muscular strength but the aerobic ability to keep using it at speed.