Are there nonstop flights from Rhodes (RHO) to Glasgow (GLA)?

Yes. Jet2.com, TUI Airways fly this route. Flight time is about 4h 20m.

What is the fastest connection from Rhodes (RHO) to Glasgow (GLA)?

via Amsterdam ≈ 4h 50m, via Salzburg ≈ 4h 50m, via Frankfurt am Main ≈ 4h 50m (estimated flying time, excluding layovers).

from 23,000 JAL miles (economy, one way, based on the published award charts).

Rhodes International Airport "Diagoras" (RHO) to Glasgow Airport (GLA)・3,258 km

Nonstop flights available (2 airlines). Flight time about 4h 20m. Nonstop return flights also operate.

With milesJAL 23,000 miles+ (via LHR)Economy, one way, estimate. Tap a connection for miles by cabin.

32 one-stop options, sorted by estimated flying time. Tap one to see the airlines on each leg and booking links.

Times are estimated from distance. Check schedules, frequency and availability with the airline or a booking site.