How to say these kitchen things in Japanese?

Question:

So how would I say these kitchen things in japanese?

Is there any food in the refridgerator?

Reizouko de tabemono/ mono ga desu ka? Or is it reizouko de tabemono/mono ga aru ka? Does that mean do you have any food in the refridgerator?

Is there any dishes in the cupboard?
Todana de sara ga desu ka?

Is there silverware in the cupboard?
todana de shokki ga desu ka?

Are there dishes in the sink?
Nagashi de sara ga desu ka?

And something unrelated in the kitchen:
How would I say I don't want to ride in an airplane?
Hikouki de noritakunai?

Thank you for all your help. If I'm not saying these right, please correct me, and if there is a complete different way to say this, please explain. Like a nautral Japanese way of saying it? All help is much appreciated. Thank you for taking your time to answer if you choose to answer. Thank you!

Answer:

1.)Reizouko no naka ni tabemono arimasuka?
2.)Todana ni osara arimasuka?
3.)Todana ni (i have no idea how to say silverware and i'm japanese. just say spoon and forks.)
4.)Nagashi ni osara arimasuka?
5.)Hikouki ni noritaku naidesu.