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You have two choices as I see it. You can (if you have cables in place already, or can pull a couple) connect the wireless routers via a wired connection to the one receiving the internet. If you don't have cables in place, and can't pull some, then you can connect the router(s) wirelessly but you'll have to put one in bridge mode.
It's very hard to say what's wrong with your configuration of your Wireless LAN but I suspect that's where the issue is. You might want to reset your wireless router to factory defaults and reconfigure it using the most basic settings (ie: create your SSID, apply WPA-PSK encryption and a complex password) and wipe the existing wireless profile from your wireless devices (if you can) and then try connecting to the new WLAN.
It matters not how straight the gate,
How charged with punishments the scroll,
I am the master of my fate;
I am the captain of my soul.