Here is a high power Sperry Radar, looks like for larger ships,
Average power calculated for this Sperry Radar varies from 5 to 20 watts, depending on the mode they use (long range vs. short range) peak power is 25000 watts per their specs.
That's a level you won't want to work at for a long time. Especially if you're right at the dish. In the cabin, on the deck, absolutely no worries at all. You have to be right at the antenna.
It's very unlikely to hurt you unless you were working less than 10 feet away, same height, and were working for many hours or even days.
At around 8 to 12 feet away from the antenna at the exact same height, you'd get the peak power density (0.4 D^2/Lambda). I've been next to a dish antenna with 4 times that peak power (100,000 watts), and only 15 feet away and didn't even know it was on.
If you were next to another transmitter, you'd have to provide the model and distance from it for an assessment. I'd rule out the radar and lean towards other sources if there was a true radiation hazard. You'd need other people to probably have similar discomfort too if you want anyone to believe it. The biggest effect I've heard of in the old days, from a 15 year period at 1940 to 1955, there were 23 kids born to the Engineers of the Raytheon Waltham Massachusetts Radar Lab, all girls.
good luck,
kch