RV plumbing system is common......if you have water at shower/sink you should have water every place..so problem is at kitchen sink.
Do you have water to toilet?
Check for any shut off valves for kitchen sink........normally isn't any but??
Also remove the kitchen sink aerator and try faucet again.
2007 RAM 3500 QC LB SRW 5.9L CTD 48re 4:10 4K in bed 'quiet genny'
2007 HitchHiker II 32.5 UKTG 2000W Xantex Inverter
Hit the Road Debt Free & Clear April '07
Came off the road still Debt Free & Clear Jan. '14