Look into your Prestashop database, specifically the ps_configuration table.
select * from ps_configuration where ps_configuration.name = 'PS_SHOP_ENABLE';
You might get something like this:
+------------------+---------------+---------+----------------+-------+---------------------+---------------------+ | id_configuration | id_shop_group | id_shop | name | value | date_add | date_upd | +------------------+---------------+---------+----------------+-------+---------------------+---------------------+ | 30 | NULL | NULL | PS_SHOP_ENABLE | 1 | 0000-00-00 00:00:00 | 2015-04-17 13:24:22 | | 476 | NULL | 1 | PS_SHOP_ENABLE | 0 | 2015-04-12 22:46:19 | 2015-04-12 22:46:19 | | 477 | NULL | 6 | PS_SHOP_ENABLE | 0 | 2015-04-12 22:46:19 | 2015-04-12 22:46:19 | | 478 | NULL | 7 | PS_SHOP_ENABLE | 0 | 2015-04-12 22:46:19 | 2015-04-12 22:46:19 | +------------------+---------------+---------+----------------+-------+---------------------+---------------------+
As you can see only one is enabled, other shops are not. The quick fix,
update ps_configuration set value=1 where name='PS_SHOP_ENABLE';
should do the trick.