There is no problem applying crabgrass preventer with lawn food. In fact they are often sold as a blend to be applied at one time.
Your crabgrass preventer should be applied within the next couple of weeks.
More on timing you crabgrass preventer application HERE https://blog.timesunion.com/gardening/finally-its-time-for-crabgrass-preventer-step-1-to-many-of-you/7124/
Even though it is warm out this week, it is too early for a weed killer application. Nighttime temperatures need to be above 50° regularly for the weed killer to work. That is more a mid-May or later application depending on the weather. More on timing your weed killer application HERE https://blog.timesunion.com/gardening/winning-the-war-on-weeds/6652/