So finally Iâ€™ve received AC Adapter.
Firstly Iâ€™ve started with checkup, and to my delight Iâ€™ve noticed that all USB ports worked, but still nothing changed with the computer after clicking the command â€œrebootâ€
Iâ€˜ve decided to sort the problem out and recorded image Bananian on another microSD. The computer began to reboot with the Bananian, great. Then Iâ€™ve put microSD from Armbian again into the computer and the reboot function again didnâ€™t start working. Just for the experiment Iâ€™ve recorded Armbian on that microSD where was recorded Bananian and ..hooray, the rebooting start working on Armbian.
Conclusion: it seems that the problem came from the microSD (originally Iâ€™ve used Lexar microSDHC 8GB - http://www.lexar.com/products/lexar-microsdhc-microsdxc-cards ), the card is not expensive, but during the testing it showed good parameters for reading and bad parameters for recording (http://www.citilink.ru/catalog/computers_and_notebooks/media/flashcards/301964/rev33842/#readreview). For the alternative Iâ€™ve used microSDHC Transcend.
P.S. After the experiment Iâ€™ve checked rebooting on Adapter through micro USB and with microSDHC Transcend. As a result the rebooting itself worked greatly, but 2 USB ports didnâ€™t functioned as I mentioned it earlier above.