Crank no start? Just got a brand new battery?

Got my car in match driver it to Texas like 3 times and back to Louisiana. I got an oil change the next week after I got it in March, no last month or this month. It was saying I needed an oil change before my time. So, I went to AutoZone and they put 5w-20 instead of 5w-30 idk why! My car started running hot I changed my thermostat, coolant sensor and camshafter bank 2 (oil presser is the only one that’s not on! ) One minute I get it’s my motor! The next I’m getting it’s my starter ! Everything comes on I had just got a brand new battery when I bought the car ! (If it was the starter it wouldn’t do nothing right? (I have the car listed above SE model)