No to the last bit - solar leccy, fed into a bit of kit that feeds an immersion heater has got to be better than water pipes, and steaming antifreeze in your loft....All the guestimates of energy output can be sourced from the net. You need to provide location direction the panels face and the angle they will be installed at. Panel output (efficiency), any shading and the type of inverter will make small adjustments to the expected average annual leccy production.
My advice is to avoid the temptation of free panel installation with a contract for the income (they do still exist, I think). Think what happens if/when you might want to move house. That could/would/should cost you thousands off your selling price!
Always get several quotes. Not all companies are truthful, many have gone bust to start up again afresh, so no long term guarantees for them to fulfil. Some may promise far more output than available in reality.
Leccy costs will only rise. You need to be able to work out the practical pay-back period - dont just trust the installer salesperson!
3.68kW is the normal current allowance to be fed into the grid from a single phase property. Permission may be available for more than that at the discretion of the utility.
There are options to consider - like battery storage. Would you use the leccy yourself, if it is not stored. Are you envisaging a battery electric car in the future is yet another thing to consider.
On top of all that, do remember that solar likely produces 8 times as much leccy in the summer than during the winter months. Yearly outputs are not always the best way to plan a system.
What about hot water? Solar thermal panels, while only harvesting heat energy, might be better than using higher grade energy for that purpose, although solar PV panels are relatively cheap, these days, and leccy is a high grade energy source.
Don't do it.