Don't you think the current at 3.85 V proportionally should increase at 5V drive voltage..? Secondly do you have any idea with my other question ?
It might, if it was allowed to but it can't since the output can only source 2mA. If you're worried, why not measure it? Add an external series resistor if you want to be sure that the circuit can't ever pull more 2mA.

Secondly do you have any idea with my other question ?
Please read my previous reply:
Input current on CMOS series logic chips seems to be in the uA range so no problems there.