Also, can you split the Cat5 going from the switch to go to 2 access points...?
Yes you can thru a single Cat5 Cable that is half duplex. I used two Y splitters one at each end of a 75ft Cat5 run to avoid having to run another cable through a tight crawl space. There are 8 wires ( 4 pairs ) in each Cat5 cable and only 2 pairs are used with half duplex which is what most network devices run on unless you have servers that are full duplex etc. This half duplex allows for you to run 2 nodes off of a single cable by splitting the 2 pairs of 4 wires.
* Your switch will have to have an available port to take 2 patch cables though, so it would be 2 patch cables to the Y splitter that joins and combines the 2 network connections over a single Cat5 cable ( using all pairs ), and then at the other end of the cable another Y splitter that actually splits what was combined initially back out to the 2 network connections back to the switch. And this acts like 2 x half duplex network homeruns from the main switch outwards over a single cat5 cable.
Here are the Y-Splitters that I am using which I bought through Cyberguys... also note that I also needed to add a double ended female Cat5e couplers to allow the 2 male ends, male end of Cable and male end of Y adapter to connect. I got the couplers cheap off of amazon. I was able to do this for like $22 total and was way better than crawling on dirt under home in crawl space with cobwebs and with like 18" of clearance in tight places.
http://www.cyberguys.com/product-details/?productid=6407&sk=MC71419&gclid=CN3D-4f-hbsCFUdhfgodqDoAngIn any wireless setup, i would suggest as many home runs as you can get, as for a dedicated home run for each device will give the best performance while if you have a bunch acting as repeaters off of another with a home run, if you have lots of traffic it will come to a crawl if for example 1 or 2 people are streaming content on the wifi such as a PBS Kids video etc. With the Y adapters you can minimize how many runs to home and cut the home runs in half if you form a T at the Y connection and send an access point in opposite directions such as 1 in every corner of the school, so you have 2 home runs of which each home run is Y split at both ends to make 2 dedicated network connections per home run, so you would have all corners of building covered and only 2 home runs. * Switch would need to have 4 ports for 4 dedicated connections over 2 homerun cables for 4 devices with dedicated half duplex.
** As far as familiarity with this specific switch and access points, I have not worked with these specific models but have worked with Symbol brand network devices before with Point of Sale Wireless communications.