Alcohol being impure

Q: I have been reading online but there are different views. Some scholars say that alcohol is haram to consume but it is not impure in literal sense and not impure to touch. Similarly some scholars say it is haram to consume and also impure to touch. If we go to a place that serves alcohol will the table or other places be regarded as impure. Please shed some light.

Saliva of an alcoholic

Q:

1.If a person drinks alcohol is his/her mouth considered impure.

2. If their saliva touches us or something will that thing become impure.

3. If after alcohol someone uses lipstick will the lipstick become impure.

4. If the alcoholic person sleeps on a pillow and drools like their spit comes out in their sleep will the pillow be impure.

5. If their spit touches their hair and we touch the hair will we become impure?

Reciting Durood before giving Azaan

Q: What is the basis in shariah of reciting Durood before giving the azaan? Also, when carrying out a good deed, eg, performing umrah, nafl hajj, reciting the Quraan etc, if one makes intention to pass the reward onto deceased relatives or our Prophet (Sallallahu Alayhi Wasallam), does the person himself get reward in full too?

Infants wearing short clothing

Q:

1. Regarding new born and small babies, is it permissible to make them wear clothes which do not cover the satar, e.g. short pants or sleeveless tops for a baby girl? Provided they aren't going out of the home etc.

2. If permissible, at what age should they be made to wear more modest clothing?