1806 said, "Choose the right brand in this forum for my watch is tough - I guess I shouldn't really be here, but I enjoy it and love my watch"
Upon closer inspection of your watch, it reminds me very much of a clean and elegant Jaeger-LeCoultre Reverso; one of the most famous rectangular watches in the watch industry and a design icon. These watches also feature the square seconds sub-dial as your watch does.
We have an excellent Jaeger-LeCoultre forum here, bon appetit (I digest the information on the site).