Hi mj,
I suggest you send copies of these with your claim forms.
Even though the switch of people with indefinite DLA awards to PIP has started, we expect the process to take several years (at least!) so you could have a while longer to wait.
As for ESA, reassessments were suspended due to huge backlogs. If you wish, you can find out when you might expect this by contacting DWP and ask for the 'prognosis'
Nothing on this board constitutes legal advice - always consult a professional about specific problems