Security doesn’t add stickers to the BP but to your passport.
In T3 there’s a different line for hand luggage only pax inside, near the screening corridor.
Thanks. Can I do security interview and head airside without seeing a wizzair desk?
Are there now restaurants and DF in T1?
If you have a boarding pass (and you should have - it's a Wizz flight after all), you don't need to wait for a check in agent. Just go to the gate after the interview.
For shopping - there are JR, Footlocker and a.l.m electronics. And for dining - Aroma and a hot dog stand operated by Burgeranch which gives T1 an interesting hot dog flavor