i have been traveling back and forth to New mexico, Due to my fathers sickness. i did not norice my drivers licence had expired until i did my dad taxes. but renewed it as soon as i seen it. does this make a difference on recieving it

No

But take note I forget how many weeks after you expired you'll have to redo the test it might be 3 weeks or 2 weeks if you catch it in time you don't have to do the test written test

No you should be okay just make sure you keep the renewal notice with you showing you payed your renewal in case they pull you over

No I had a similar experience