Band suggestions? (Punk kinda bands)?

Well those aren't actually Punk. Those are a mix of Pop-punk and post-hardcore (well I think technically OM&M and BMTH are Metalcore.)

Real punk is made up of bands like:

The Clash

Sex Pistols

The Ramones

Iron Maiden

Black Flag

The Misfits

You're more likely to like bands along the pop-punk side though based on the ones you listed, so this is what I'd recommend:

Fall Out Boy

Panic! At the Disco

You Me At Six

Pierce the Veil

A Day To Remember

Three Days Grace

Avenged Sevenfold

Breaking Benjamin

Good Charlotte

Green Day

Blink-182

30 Seconds To Mars

Sum 41

Simple Plan

Plain White T's

All-American Rejects

Jimmy Eat World

Twenty One Pilots

Cobra Starship

The Academy Is...

Paramore

The 1975

The Cab

Mayday Parade

Those bands aren't screamo or punk. Honestly hate how the media labels these bands those labels. It's actually quite disgraceful.

Real punk is Angelic Upstarts and Dead Kennedys and real screamo is Funeral Diner and Piano Became the Teeth.

Try

fall out boy

better luck next time

jimmy eat world

yellowcard

blink-182

sum 41

paramore

hawthorne heights

suicide silence

chelsea grin

the dillinger escape plan

whitechapel

botch

car bomb

job for a cowboy

asking alexandria

emmure

three days grace

panic! at the disco

good charlotte

If you're wanting to venture in to different music, don't stick to pop punk, metalcore/deathcore and alternative rock. Towards the end of my list, I've started to name lesser know deathcore and mathcore bands... don't make your music taste look like a scene kids...

None of those bands are punk. If you want punk try

Circle Jerks

The Vibrators

The Ramones

Black Flag

Bad Religion

Sex Pistols

Transplants

Rancid

Dead Kennedys

Leftover crack

Operation Ivy

The Clash

Descendents

Choking Victim

NOFX

My chemical romance are awesome

I also quite like panic! At the disco

Blink 182

Bring me to the horizon

Linkin park

Evanescence

Sum 41 or The Offspring

Try Blink 182.