First Runner Deck

A pretty universal rule in customisable card games is that your deck will be stronger and less frustrating to play if you keep to the minimum deck size - you maximise your chances of seeing the cards that help you most.

In your case, you seem to be trying to have both small breakers that you can install on the fly and big breakers to replace them. Don't worry about that. Go big or go fast. Visualise what you want your final rig to look like - one breaker of each type, with a Magnum and an atman at 4 or 5, maybe - and cut everything that doesn't fit in that rig. You have 13 breakers - most builds run about half that.

Similarly, cut down to economy cards and multi acess cards you like the best. If you plan to install or tutor magnum early, for example, easy mark and freelance coding are pretty useless. Medium, demolition run and 3 Makers' eyes may be excessive, but might not be if you plan on doubling down on r + d. Escher and scavenge are of little use here. A card might seem cool, but you need to ask yourself how often you'll actually be happy to draw it in a tight match - in these cases not often.

Your deck will be awkward in places due to yor limited card pool, but perservere and focus on making a deck that does one or two things really well and you'll end up with a deck that is solidly effective and fun to play. Good luck!

@DavyRam Thanks a lot for all advices you gave to me. I was thinking about make a runner deck most efficient. It's not easy when you'r a beginner !!

But you'r right i must make the deck most effective, with less breaker but more ways to catch some maybe. But if i cut Economy cards, where did i will find some credits to paid some powerful card or make some big assault on R&D and HQ corpo ?

Femme Fatale seem's be a powerful card to make breach on corpo's servers. Maybe i must work on that field.

What's the best ratio for a runner's deck ?

The correct ratio varies a lot depending on what you want to install and how much you want to run. There are lots of winning Kate decks on the stimhack web site, and most of those are event - though be warned they're powered up by the lucky-find/pre-paid voice pad additions. Since you don't have Kati Jones or pre-paid voice pad, I'd suggest trying one of two plans:

Focus on getting out an MO early, going up to 3 Self-mods and 2 Magnum Opus - you'll a turn or two off setting it up, but honestly once you have MO out it'll give you almost all of the money you need. You'll win games by sitting back, building a huge pool of money, then installing medium and hitting r+d over multiple turns. If you go this route, you maybe want to keep the sure gambles and one other 3 of event for when you need to surprise the corp.

2: Take out MO and the other 'slow', shove in 3 Professional contacts, and keep most of the events. Your money will go up and down more but you'll be hard to predict and will draw into what you need reliably. Again assuming demo-run/medium is your main win condition (good choice) you'll want to keep in stuff like femme and tinkering to enable cheap multi-medium-access turns.

Keep in mind I'm no expert player, but I think my advice is broadly sane. I don't want to dictate your whole deck for you; everyone has their own running style. Experiment and see what works best.