From the route you have, it looks like you will be passing through R2503 A and D. 2503A only goes up to 2000'. Im not a RW pilot, only have about 10hrs in a R22, and I know you guys like to fly low, but if you can get up above 2000, then you dont have to worry about that one. 2503D is only active 'intermittent by notam' so call a briefer prior to make sure there is no notam for it, and you should be fine. Otherwise, use the frequency provided to call up and ask. Are you getting flight following? If so, center will advise you if its 'Hot' or 'Cold'.
Hope that helps