Does SSR with DC Motor still nead back EMF protection
Yes, you should put a diode across the load, just as shown in the SSR diagram. 

Otherwise you can damage the SSR from the inductive energy in the motor when the SSR tries to turn off. 

The diode can be a conventional silicon rectifier- it will have to conduct the motor current briefly and needs to withstand the supply voltage plus some margin. For the 1A one, a 1N4004 or 1N5404 will work fine.

For the 11A one, a diode rated at 10A or so should be fine, such as a 10A04-T (or you could use that type of diode for both).