Note: Charles winning in 1645 does not mean the PoD is in 1645. For instance, suppose Charles had won at Newbury in September 1643, which was distinctly possible. It might stlll take a year and a half before Charles finally wins the war.
As to the consequence of Royalist victory:
There are a lot of follow-on effects. First and most important, Parliament has not deposed and executed the King. Nor abolished the monarchy. Yes, the monarchy was restored in 1660. But it was restored by act of the Convention Parliament.
Charles II reigned with one eye over his shoulder; he knew the limits of his power, and what could happen if he exceeded those limits. Then came the Glorious Revolution, in which Parliament asserted the power to determine who was King. WIthout the precedent of the Civil War, that could never have happened. (IMO, anyway.)
In this situation, Charles holds power by conquest. It is very doubtful that he would consent to anything like OTL's Indemnity and Oblivion Act, which put strict limits on what could be done to ex-Parliamentarians (other than the regicides).
Other knock-ons:
The rise of Cromwell and the New Model Army created a permanent distrust among Britain's political elite of professional soldiers. The system of purchased commissions was to insure that no one could achieve high military rank who was not part of the propertied elite. ITTL, that doesn't happen, leaving Britain vulnerable to a Bonapartist takeover or usurpation.
No abeyance of the monarchy in Scotland, and no conquest of Scotland by Cromwell.
No conquest of Ireland by Cromwell.
Charles, James, and Henry don't go into exile. James is not exposed to Catholicism and so probably does not later convert to Catholicism. Henrietta ("Minette") doesn't marry the Duke of Orléans.