There are some new adhesives for repairing PE:
https://www.tapplastics.com/product/repair_products/plastic_adhesives/tap_poly_weld_adhesive/435
I've use the plastic welding hot air guns and it's tricky to get PE to bond well even to itself. I try to have another piece handy to press on the molten plastic to smooth it out and help it bond.
One tip for repairing with a glue gun is to reinforce the repair with some cloth. The hot glue never gets very hard but making a composite with cloth will add lots of strength.