I have been in February twice & I wouldn't choose it because the weather could be cold & if I am going to Florida, I want it hot. I really don't want to wear pants, light coats, long sleeves, shoes that require socks, etc... when in FL.
Anyways, I got sick once in February, a fever, cold, runny not normal colored snot, etc... It was from splash mountain & I was soaked & it was chilly. So yeah, February isn't a time I would choose to go.
Also, it snows here in CT & I see are in Michigan & I am sure you get winter weather that could delay a flight. But I seem to remember the crowds weren't that bad, it wasn't presidents week, I don't think but the parks weren't open late.
As far as April, I would choose it weather wise. FYI, if you are going Easter week, you can leave on that Good Friday assuming you don't have school that day to add yet another day to your trip.
I have gone to WDW a few times growing up in April & the weather was nice but that was before there was more then 1-2 parks. The past 2 April's we have gone to FL but to Ft. Myers. There the weather was great, tropical, etc... We drove in 2013 & took the Autotrain in 2014 so we had the opportunity, OK more like me begging to go to DtD for dinner/lunch.
DtD was crowded! Also the weather while it was warm & you could wear shorts I could tell it was colder then where we just were.
In april you don't have to worry about snow storms even though there are those freak storms we get every so often.
I would choose April over February due to weather. But I would choose August over those 2 not that you asked about other times.