That’s really not dreadful.
A couple of suggestions to tidy it up:
First, while there’s nothing wrong with saying you’re self-motivated (etc.), it currently sits as an island. Can you tie it to your experience? ‘I am a self-motivated individual with a track record of working under pressure to solve clients’ problems.’ places this in context and makes it feel like it means more. It doesn’t mean much to employers when people just list positive words.
On balance, I’d say ditch the law course from the statement (they’ll find out anyway when they read further on your CV). While it could be read as ‘this person is intelligent and professional’, it is more likely to signal ‘this person has significant other commitments and will resign within a year’. That’s going to be very off-putting to some employers – while it might be true, it’s perhaps not the best way to introduce yourself.
‘My vital skills are my organisational skills’ sounds weird. Unless it’s a specific buzzword phrasing that you really want to use I’d simplify. ‘I am a good organiser and take pride in being able to handle multiple demands.’ or whatever.
Then, you need to hit this with the grammar hammer a bit. It’s ‘communication skills’ not ‘communications skills’. It’s ‘clients’ enquiries’ (clients’ has an apostrophe, I’m not randomly opening and closing the quote!). And it would read better if you wrote ‘face to face, over the phone, or via emails with empathy and professionalism.’
As a disclaimer, because I’ve picked apart your writing (sorry, it’s only to help you get a job!) the laws of irony state that there must be at least one appalling error in my post that I’ve failed to notice.
Finally, good luck!