Can I bring this on the plane?

Sorry in advance if this isn’t the right place to post this! I’m flying in from LGA->AMA in October to see family. I have not been on a plane since 2013 so I don’t know what I can/can’t bring on the plane as far as food. I want to bring bagels and some vegetables from Asian supermarkets, basically stuff my family told me they can’t get in Amarillo. Would the airport allow me to bring this on board? I have no idea. Thank yew:)