modal_page.js?ps65nh:14 Uncaught TypeError: modalPage.modal is not a function

Just wanted to give a try to version 7, so on a fresh Drupal 7 site I've enabled the module, inserted the test value on admin/config/user-interface/modal-page:

<front>|Welcome|Welcome to our new website|Thanks

and it worked ok causing a small pop up on front page. However, Google Chrome's console started to complain about different errors on different pages:

autocomplete.js?v=7.67:9 Uncaught TypeError: $(...).once is not a function
    at Object.attach (autocomplete.js?v=7.67:9)
    at Object.<anonymous> (drupal.js?ps65a3:112)
    at Function.each (jquery.js?v=1.4.4:33)
    at Object.Drupal.attachBehaviors (drupal.js?ps65a3:110)
    at HTMLDocument.<anonymous> (drupal.js?ps65a3:593)
    at Function.ready (jquery.js?v=1.4.4:30)
    at HTMLDocument.u (jquery.js?v=1.4.4:38)

Uncaught TypeError: $(...).once is not a function
    at Object.attach (toolbar.js?ps65d7:12)
    at Object.<anonymous> (drupal.js?ps65d7:112)
    at Function.each (jquery.js?v=1.4.4:33)
    at Object.Drupal.attachBehaviors (drupal.js?ps65d7:110)
    at HTMLDocument.<anonymous> (drupal.js?ps65d7:593)
    at Function.ready (jquery.js?v=1.4.4:30)
    at HTMLDocument.u (jquery.js?v=1.4.4:38)

Uncaught TypeError: Cannot read property 'msie' of undefined
    at Object.Drupal.overlay.makeDocumentUntabbable (overlay-parent.js?v=1.0:933)
    at Object.Drupal.overlay.open (overlay-parent.js?v=1.0:89)
    at Object.Drupal.overlay.eventhandlerOperateByURLFragment (overlay-parent.js?v=1.0:692)
    at s (jquery.js?v=1.4.4:36)
    at G (jquery.ba-bbq.js?v=1.2.1:10)
    at handle (jquery.js?v=1.4.4:64)
    at o (jquery.js?v=1.4.4:57)

tableheader.js?ps65h6:12 Uncaught TypeError: $(...).once is not a function
    at Object.attach (tableheader.js?ps65h6:12)
    at Object.<anonymous> (drupal.js?ps65h6:112)
    at Function.each (jquery.js?v=1.4.4:33)
    at Object.Drupal.attachBehaviors (drupal.js?ps65h6:110)
    at HTMLDocument.<anonymous> (drupal.js?ps65h6:593)
    at Function.ready (jquery.js?v=1.4.4:30)
    at HTMLDocument.u (jquery.js?v=1.4.4:38)

I tried to disable the external external jQuery and Bootstrap libraries to use only local jquery, but then it gave:

modal_page.js?ps65nh:14 Uncaught TypeError: modalPage.modal is not a function
    at HTMLDocument.<anonymous> (modal_page.js?ps65nh:14)
    at Function.ready (jquery.js?v=1.4.4:30)
    at HTMLDocument.u (jquery.js?v=1.4.4:38)

Then I disabled the Toolbar module and finally all the errors were gone, but the format of modal popup windows was totally broken and the links in it were not functional.