Hi,
I don't know if your have the rights to insert data in the joomla database. But it seems that HikaShop is not in the #__menu table.
By reinstalling HikaShop, the menu should be re-create but you have to be sure that you have to right to insert elements in the #__menu table.
It looks like you had some database troubles looking at the different errors you had.
Regards,
Jerome - Obsidev.com
HikaMarket & HikaSerial developer / HikaShop core dev team.
Also helping the HikaShop support team when having some time or couldn't sleep.
By the way, do not send me private message, use the "contact us" form instead.