iTunes Home MediaLibrary access problems with iOS Apple Remote's

Thanks to all professionals who help here to many people with their occasions. I have a little problem such with access to my iTunes Home Media Library from iOS Apple Remote’s App after I’ve installed MikroTik router. My iTunes Home Libraries are on two different Macs and the problem occurs when I’m trying to connect to any of them through wi-fi.

The problem is the access disappears when Mac’s display goes in sleep mode (not whole Mac, but only its display, it keeps to play music in this state), and I can’t access iTunes Library after that from iOS Apple Remote’s App.

• The access almost always returns if to try to turn off and then turn on iTunes Media Library function on Mac.
• Sometimes the access is returned if to wake Mac from sleep and restart iTunes
• Sometimes the access is returned when I minimize and open again Apple Remote’s App on iPhone
• Sometimes the access is returned if I just close and reopen the App
• More rarely if the iTunes icon is visible in iOS Remote App and if I click on it nothing happens, but if I’ll try to continue pressing 20-30 times with the speed of AK-47 firing … the strange thing… but the access will open :confused:

I spotted this problem only with routerboard MikroTik routers with use of the iOS device with versions 10 and 9 and there are no problems with iTunes Remote App with any non-MikroTik routers.

Sorry for my English, screenshots are shown below. Thanks for your ideas!

Any suggestions?