very urgent pleae if someone can help...

[dretch608]

hey everyone..so i am LPR with a green card that expires in almost 10 days..I have been issued a reentry permit which is valid till june 2017..may I travel at june 2017 with a valid re entry and an expired green card ?? will they accept me into the states?? if yes do i need to travel on an american airline better as they understand the whole re entry and stuff?? or do u think my better option is to travel through these 10 days and apply for a new green card?? and if i did travel to the states within the next 10 days how long should i make a stay till the biometrics appointement and finger prints??
dr etch