Pilgrim has answered the exegetical question you asked. As far as evangelism and election it is great you are asking--many in Calvinistic circles don't. There should be a balance.

First, it should be noted that historically Calvinists have been evangelists. Calvin sent many to the mission field and of course you have some like Whitfield and Edwards that evangelized the masses.

You may be surprised at how B. B. Warfield describes Calvinism:

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Calvinism is evangelism in its pure and only stable expression, and when we say evangelism we say sin and salvation. It means utter dependence on God for salvation. It implies therefore, need of salvation and a profound sense of this need, along with an equally profound sense of helplessness in the presence of this need, and utter dependence on God for its satisfaction. Its type is found in the publican who smote his breast and cried, "God be merciful to me a sinner!" No question there of saving himself, or helping God to save him, or of opening the way to God to save him. No question of anything but "I am a sinner, and all my hope is in God, my Saviour!" This is Calvinism, not just something like Calvinism, or an approach to Calvinism, but Calvinism in its vital manifestation. Wherever this attitude of heart is found and is given expression in direct and unambiguous terms, there is Calvinism. Where this attitude of mind and heart is fallen away from it however small a measure, there Calvinism has become impossible.

The Calvinist, in a word, is the man who sees God. He has caught sight of the ineffable Vision, and he will not let it fade for a moment from his eyes--God in nature, God in history, God in grace. Everywhere he sees God in His mighty stepping, everywhere he feels the working of His mighty arm, the throbbing of His mighty heart...Calvinism is just Christianity. The super-naturalism for which Calvinism stands is the very breath of the nostrils of Christianity; without it Christianity cannot exist...Calvinism thus emerges to our sight as nothing more or less than the hope of the world.
Second, one of the greatest joys you will ever have in the LORD is knowing that you are sharing "the truth" when you share "the Gospel" (only found in Calvinism) with another and see their life changed. When you see that life truly changed you will know they were one of God's elect. Our responsibility is to share the Gospel and pray for others as if all are elect, though in reality only those whom God predestined and called ... will be saved. However, no matter whose watch it happens on in God's providence, God is to receive all the glory ... (but it still makes you feel real good-joy unspeakable full of glory <img src="/forum/images/graemlins/BigThumbUp.gif" alt="" />).

Reformed and Always Reforming,