Kenton, 30, was a free agent after leaving Leeds United at the end of last season, having also played for Leicester and Southampton.
Wesolowski, 21, has featured for the Foxes this season, but has opted to head to Whaddon Road for more regular first-team football.
Town boss Martin Allen told the club's official website: "Darren's a strong, solid defender. He's fit and a good player and a good man who I remember from my short time at Leicester City. He will certainly help us.
"James is an uncompromising, tenacious midfielder. He is young, he is hungry and I'm very grateful to Leicester for allowing him to come here."