I exercised for the first time in a long time yesterday. This is what I did:

500 jumping jacks at moderate pace 
100 jumping jacks at fast pace 
10 min of running in place at moderate pace 
100 jumping jacks at fast pace

Today I can barely walk, my leg muscles are aching a lot. After being seated for a while if I get up to walk it is very hard. But I noticed after a while once I'm warmed up a bit I can pull it off. So I think I will be able to do the same workout I did yesterday today.

The question is should I?

I reckon my leg muscles are hurting because I tore them up with my exercise and now in order to allow them to regrow and grow bigger I should rest. But my goal at the moment is to lose weight, not so much to grow muscle. Hence all my exercises are cardio.

For someone in my situation who is looking to lose weight and lose it fast, should I be doing this sort of cardio daily? or take breaks? If I should take entire days off how many a week?

height: 5'8
weight: 185lbs
age: 23
sex: male
body type: overweight