What do you think....Pip still sneezy

my new baby is still sneezy....I'm worried

Here is a timeline since he came home. I brought him home on June 16 and I let him adjst to his new home for a day. Then the next day I started picking him and he was very sneezy....even one time i saw a little of the red stuff come out(starts with a P....forgot what it is called) Then within the next few days the sneezing got better and no more red stuff. Now he is a little sneezy but it is hard to tell if he is active because he is still very active. When he is in his cage he won't run around a lot or climb up the levels. He will hop around a little bit and go in his hideout but sometimes he just sits in a corner when he is not eating. he is now eating his blocks and drinking well and when I take him out he runs around so he appears so be okay. I can't hear wheezing but I do hear sneezing often.

I think he is okay but I am not sure if he doesn't run around a lot in his cage I think it is because he is VERY timid and still frightened of me. I hold him as much as possible offer him food from my hand and let him lick soy yogurt off my finger.

I am just wondering if he should still be sneezing after about 9 days? Is their anything I should be giving him besides extra protein(like in eggs) , some baby foods, etc.

Any help would be greatly appreciated.

P.S. I am very excited to be able to introduce Raz a friend anywhere from 4 more days to another 11 days but I want to make sure both are in good health before they are introduced. By the way....I think my other rat had buckgrease and I gave him a bath using directions from the dapper rat site. Most of the orangish stuff came off and only a little bit is left now....not to mention Raz smells GOOD