GTA Online Content Creator – How to Make Elimination Races

In order to see Speedophile races, you need to be on a Speedophile Seashark jet ski and you need to have finished "Hood Safari." In order to participate in Street Races, you must have finished the Strangers and Freaks mission, "Shift Work," and you need to be playing as Franklin.

Looks like you've done that. A similar question was posted to the Rockstar Support, here is Rockstar Games reply:

We are looking into a few reports about this now. If you would like to receive an email notification as soon as there is more information about a potential fix, please log into the Support Site and click Subscribe at the top of this page.

Installing a tracker allows you to see your car on the map. You can install a tracker at LS Customs, or you can get a free one when you store the car in your garage.

A tracked car can still be totaled or stolen. If this happens you are out of luck. Buying full coverage on your car at LS Customs gets around this. If the car is lost or stolen you can call up the insurance company and file a claim to get it back.

Each garage can hold a set amount of cars(between 2 and 10). Most cars you can steal can be stored in the garage. The game is a little restrictive on the high end cars-you have to buy them. I haven't tested it, but I assume you probably won't be able to store the bigger vehicles like semis and cargo trucks either. Physically they are probably too big to fit in the internal volume of the garages(at least the 2-car one I currently own)

Another bonus of the garage is you get a mechanic who can deliver a car from your garage to you anywhere on the map for $50.