On those cleats- tighten them as hard as you can and then get the long allen key on them.

Never had a lack of oil problem but I always use Shimano pedals. Don't know if yours are.

But don't worry about it. Tight pedals will teach you some new skills.(Track stands). Your decision making will be become faster and you will be keeping the local pharmacist in business with the amount of bandaid and antiseptic you will be buying.