Agree with the above. If you are just starting Martial Arts, this is not the way to go about it. You will need to just drill drill drill the basic techniques over and over with correct form so you can develop muscle memory. It takes a while. My recommendation would be to hold off on lifting weights for the moment. Practise martial arts once/day for 4-5 days a week.
I would also say pick one martial arts and develop a strong base in that before mixing it up. Also, start out by running once or twice a week. That should give you a good conditioning base. Take one day completely off.
On another note, it seems from your post that you have joined an MMA gym. Now I can't speak for your gym or any other gyms, but in my experience, these MMA gyms are NOT the place to learn striking. MMA has tipped and EVERYONE wants to become an MMA fighter. It's an excellent opportunity for gyms to make money.
Does your gym have like 50 people in a class, holding mitts for each other and just going back and forth doing all kinds of different combinations without giving you any individual attention or teaching you anything? If so, chances of you learning are slim. This is really not the proper way.
As tempting as it is to go to an MMA gym where all the action is at, unless you already have strong base in something, these facilities are of little value. I would highly recommend you to join an only boxing or only kick boxing gym. They will teach you properly from the bottom up: footwork, head movement, combinations, etc.
How I always look at is this: pick an MMA fighter who has a gym that interests you. You have joined his gym because of his name and obviously the opportunity to be around top fighter. Logically, if he was so good, his gym must be pretty good also. But think, how did he become this good? You think he started out at a gym like his own?
Chances are, probably not. He started out at some gym that was either boxing, k.boxing, wrestling, JJitsu - a specialization gym. And then after being proficient in that martial art, he made his way into other martial arts.
Even if Fedor, A. Silva, GSP, Machida all trained at the same gym, it would make little difference being a beginner. It's not like you will get the opportunity to spar with them. Even if they were to teach a class that day, it would be them drilling the same basics to you which everyone else does. There is only one way to take that first step and get to the next level, and that is by just drilling over and over and over again with correct technique.
Just my thoughts.