Toilet paper will just fall apart when you first wee I think a better alternative would be kotex maxi pads or you could use a old cloth or towel folding in your pull up
Paper towels or kitchen roll would be more effective than toilet roll, but still not hugely absorbent. Unless you can get hold of any small sanitary/incontinence pads or baby nappies, not sure what would be an improvement.
Yeah, TP will just become a sodden mess and not work well. paper towels would hold up better , but they would still not be great.
If you could order from Amazon, the Tranquility pads are not that expensive, come in different sizes/absorbancies and come 25 to a bag. I've used the Supers and they do give a nice boost to a diaper.