vpa do not hijack threads open your own
1) Differences between Repeater and Universal Repeater ? i never used Repeater always UR, so cant answer, Jimasek is and exprience senior member he knows the answer this is his forum http://forum.jimasek.elektroda.eu/smf/ and he is always here too.
2) In the repeaters mode work only WPE security. Is this the same to all Brands Repeater or only to TP-LINK ? who told you that, you are wrong
3) In Repeaters Mode what SSID will i see from the repeating Device ? The device SSID or broadcasting the SSID from Root Device ? as you ask REPEATER means to repeat the SSID from Root Device
4) I understand , always the device which receives, like Client or Repeater, must have the same ip range Address from emiter . Is this correct ? yes
5) When wirelles mode is in Access Point Client or Repeaters have disabled DHCP and the emiter or root AP have enable DHCP , the devices connected to access point or repeater take ip - getaway - dns from root AP ? yes
6 ) When wirelles mode is in Access Point Client or Repeaters , does the root AP have to have any kind of peering with Access Point Client or Repeater ? no
7) When wirelles mode is in Access Point Client or Repeaters and the root AP dont have any kind of security , just leave the client or repeater security with no security ? Is it connected correct in this situation ? this is the same as #3 same answer you just repeat no security you repeat no security, when they have security then you repeat with security.
on top you have FAQ click it and it will take you to all the FAQs all you have to do if you want APs first line says product category expand it and choose Wireless AP all the way to the right there is a tab that says GO click it and will open all the APs guides there you have 3 pages of them surf and you will find all the answers to your doubts.
read this 2 guides, what ever is not there dont bother doing it or asking, you dont need it
http://www.tp-link.com/en/article/?id=250
http://www.tp-link.com/en/article/?id=288