OK thanks, I will wait until tomorrow morning then I will move the funds through a new multibit version or an other client. The size of the transaction is 18,687 bytes.
If you paid a 0.0019011 BTC transaction fee for a 18,687 byte transaction, then you paid an extremely low fee by the standards of today's overloaded network. Others paying such low fees have waited days for a confirmation.
I issued a transaction, the minimum default transaction fee I could use was 0.0019011
A 0.0019011 BTC fee for a 18,687 byte transaction is paying 0.0001056 BTC per KB.
That's just above the minimum 0.0001 BTC per KB fee that the viabtc pool requires to let you use its transaction accelerator. Keep trying to submit your transaction's ID to this webpage until it says acceleration succeeded, and the viabtc pool will include your transaction in the next block it mines (provided it's a low s transaction). The page only accepts 100 transactions an hour, and it's overloaded with requests, so you have to keep trying a few times an hour.
https://www.viabtc.com/tools/txaccelerator/The latest multibit classic (0.5.19) has a fee slider in the preferences. It's maximum possible fee is 0.0005 BTC per KB, and there are times when that's not high enough to get a fast confirmation. This is a screenshot of it.
The version you are using (0.5.16) does not have that fee slider.
Electrum also has a fee slider, but its slider dynamically calculates the best fee to pay based on the current number of unconfirmed transactions. It currently recommends paying more than 0.003 BTC per KB for a confirmation in the next block. That's over six times more than the maximum the latest version of multibit will let you pay.
This is a recent screenshot of electrum's slider.