luckily A4 availability is not an issue in Australia, but using the right paper is an issue with all of us, over the years I think all of use have use every type of paper known to man. I feel you could ask 100 people, what is the best paper and/or glue to use?, and you would get 100 answers.
I mainly use;
premium grade photo gloss 250 g/m2 paper, and a 220g/m2 matte paper,. Different paper for different finishes. eg gloss paper for commercial planes & matte for military, gloss for car bodies & matte for tyres.
PVA wood glue & Tacky craft glue, the wood glue for general use (clean & fast drying), tacky for instant bond, but can leave messy finger prints.
Some papers perform better than others, some glues perform better than others.
You need to purchase small amounts of stock untill you find the goods that work for you. Model building should not be a pain in the rear, if it is frustrating it could be the products you are using, try not to change to many thing at once, work out which product work & which product is a problem.
Good luck & have fun