Lots of wisdom here. You need to relax.
The most important thing you should teach your dd is that you love her. To grow up into a good caring well behaved citizen she needs, first and foremost, to know what love feels like. As she gets older, she will then want to reciprocate that love, she will learn to empathise with other people and respect their feelings if she sees you doing that, she will want to be like you.
So the things you should be concentrating on atm are interaction: playing peek-a-boo games, laughing with her, singing to her, sharing her enjoyment of the world. Books can be a very enjoyable part of that- if done for pleasure, not with some desperate idea that you've got to cram things into her before it is too late.
Ignoring crying because you don't want to encourage bad behaviour seems a bit odd: do you really believe that a crying 5mo is being naughty? What other means do they have to ask for help? She is hardly in a position to say: 'darling mummy, could you please be so kind as to pick me up'. But if you listen to her crying you might get to recognise the difference between different kinds of crying- it's a difficult language but it is a language.
Teaching her not to whinge comes much, much later- that's something you will be working on in the next year or two, not now. Or (if I have to be honest, in the next year or 10 )
As FairyMum says, you have got to accept that toddlers are unruly. You are in charge and have to prevent them from putting themselves into danger/wrecking the house/hurting others, but you cannot and should not try to make them be like sedate adults. A certain amount of fight is needed to be a toddler: they have obstacles to overcome and a lot of strange things to learn.
And I couldn't agree more with what FairyMum said about it being the people who worry most about unruliness that get the most unruly children later in life. I have seen a lot of that. So just relax and enjoy your daughter.