Impurities

Vomiting several times in small amounts

Q: I have read in Bahashti Zewar that vomit that does not equal a mouthful is not regarded as impure in Shariah but if a person vomits small quantities several times and these small quantities together equal a mouthful then it will be regarded as impure. I have also read on the internet (I'm not sure how reliable the following information is) that if a person vomits small quantities several times for the SAME REASON then if together it equals a mouthful, it will be regarded as impure.

1. My question is that if a child vomits up a small quantity of milk while burping after feeding and this happens every time after feeding that a little milk is brought up while burping the child (as usually occurs with babies) then will it be regarded as impure as this is happening for the same reason (burping) and after a very lengthy period, if a person had to add up all these tiny amounts it will eventually add up to a mouthful?

2. Will the same ruling apply to an adult who sometimes when burping after eating, a tiny amount of food is brought up or a small amount of bitter saliva that doesn't equal a mouthful but if after a couple of days it is added up, it will equal a mouthful?

Impurities on one's shoes

Q: Please can you help me with the following?

1. I was walking outside and there was an area which had a lot of stool from various birds, I tried my best to avoid it but am not certain if I avoided it completely, does this make the bottom of my shoes napaak?

2. If a non Muslim is eating a sandwich and I am not sure what the content of the sandwich is (i.e. if it contained something haram) and they subsequently touched me on my back, does this make my clothes and the seat my back subsequently leaned against napaak?

Is mucus or phlegm impure?

Q: Are any of the following regarded as impure in Shari'ah?

1. The mucus or phlegm that comes out of the nose or throat due to a cold, flu or sinus infection

2. The yellowish white mucus or phlegm that comes out of the nose or throat due to a cold, flu or sinus infection

3. The yellow or green colour mucus or phlegm that comes out of the nose or throat due to a cold, flu or sinus infection (could be pus).

Water splashes on toilet seat

Q: I wanted to ask that when doing istinja sometimes the water used whilst washing may go on the toilet seat, either at the back or the front of the toilet seat, these can be splashes to drops of water. Are these pure or impure? Also when tried to wash the seat because of this, the water used to wash it then goes on the floor so does this make the floor impure and is it enough to wipe the floor with a sponge? Please help as I don't want to make the bathroom najis.