Birds In Chile - Bird ID Help Needed

We spent the first two weeks of March on a small ship along the coast of Chile. I will post some photos soon, but I am having trouble identifying a few of the birds. Maybe Janet Zinn or someone else can help me.

I think this one might be a Patagonian Tyrant, can anyone confirm? Taken at Isla Chiloe, 43 degrees South.

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I think this one is a Red-legged Cormorant, taken near Isla Mocha, 38 degrees south, again anyone confirm?

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and

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I believe this is an Albatross, maybe a Shy Albatross, but others spotted Royal and Buller's Albatross. In any case it has a dark head unlike the Black-browed Albatross normally seen here. Taken near Isla Mocha.

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and

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and

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Any idea what this shorebird is? Taken on Isla Clemente, 46 degrees South.

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Many thanks for any help you can offer!!
Bob

 

Hi Janet,

Many thanks for all the help. Three out of four really is amazing!

UPDATE: I SHOWED NAN THE FIRST ONE AND SHE SAYS IT IS A CHUCAO TAPACULO!! YEA!!

One of the naturalists on the ship was possibly the best birder I have traveled with. I have a copy of his bird list from the trip and am almost certain the first one is on his list.
Possible candidates:
Chucao Tapaculo
Magellanic Tapaculo
Thorn-tailed Rayadito
Rufous-tailed Plantcutter

Unlikely but on the list:
Tufted Tit-tyrant
Fire-eyed Diucon
Common Diuca-finch
Patagonian Sierra-finch
Rufous Collared Sparrow
Chilean Swallow

PS Janet, I have about 20 more bird photos that I have identified on my own, so I am not asking you to do all the work! I will post them here soon for your enjoyment.
Thanks again for all your help!
Bob & Nan