For example on Monday do bicep and shoulder workout, but no feel much sore or pain on the next days..
Should I do this workout again on Wednesday or need more rest time?

Beginner here

Do your other body parts.

u could try do the same thing 2 days straight.

soreness/pain does not = good workout. this was discussed in some other thread. also look up in bodybuilding forum

How many times a week you are training arms and shoulder? Every day?

Monday only.. but I feel like not enough cause no feel any soreness or pain.
Should I add in another day for arm and shoulder?

do you do leg and back workout?

eat more and hit the gym..

it depends on the workout "intensity" you did on Monday. Anyway, if by Wednesday you believe the drive/push is inside you/you have the form (meaning that you must be able to lift the same amount of weight/or higher properly, then you are good to go). If you cant perform the same quality as the Monday one, then move on to other body parts and let the former rest. And start early training legs and back, you'll find that later on it helps with other muscle as well e.g. shoulder workout.

oNE body part per week, its good enough...

chest,bicep&tricep,shoudler,back,legs