Your throat feeling raw could be a lot of things, most of which are completely treatable, so I agree with everyone else that you should talk to your doctor. Some of the things could be contributing to your headache.
Are you doing these activities outside in the sun? If so, try wearing a hat and sunglasses or changing the time that you exercise so that the sun isn't as much of an issue. If I go running at midday in the hot sun without a hat, I guarantee I'll get a headache no matter how much water I drink. If I wear a hat, no headache. I hate to wear a hat, so when I exercise outdoors I try to do it in the early morning when the sun is just coming up or in the evening, when the sun is lower in the sky. This makes a big difference in terms of my headaches.
It could also be that you aren't drinking enough water, as others have suggested. Finally, it could be that you are pushing yourself a little too hard--the rawness in your throat could also indicate this. Maybe trying running at a slower pace or taking it a little easier with the tennis (is there a lower setting for the ball machine?).
Have you tried taking Ibuprofen for the headaches? When I get headaches from exercising, Ibuprofen usually clears them up.
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