I'm late by over a month. But still here are the word-to-word meanings.
First Sloka was composed by Valmiki Maharishi and appears in the Balakanda of Srimad Ramayanam.
kausalya - Daughter of King of Kosala Desha
supraja - O Glorius Son (In general Sanskrit it would be Good Son, but I have chosen Glorious Son since Rama is definitely better than being just good!), in tamizh this word would translate as nallamagan!
Rama - O Rama, One who delights every one (ramayati iti rAmaha)
purvasandhya pravartate - Meeting of light and darkness in the east has taken place (Essentially it is the Dawn Time)
uttistha - Please wake up
narasardula - Lion amongnst Men
kartavyam - Duty
daivam - Divine
ahnikam - Day-to-Day (Sandhyavandanam - Argya Pradanam to the Surya Devata literally "Savitrumandala Madhyavarthi Srimannnarayana" and Gayathri Japam!)
O Glorious Son of the daughter of Kosala Desha! One who delights everyone! It is the time of dawn! Please wake up! You have to perform you daily duty of Sandhyavandana and offer arghyam to Surya Devata! O Lion amongst Men!
The rest of the songs were composed c. 1430 AD. by Sri Prativadi Bhayankaram Annan Swami, one of the Astadiggajas (in specific SribhASyAchArya) of Swami Somyajamatrumuni. This was composed during Swami Manavalamamuni's visit to Sheshasaila.
uttistha - Please Wake up
govinda - One who delights the earth, cows, etc, meaning Sri Krishna (gAm vindati iti gOvindaha - gAm - cow, earth, vindati - delights)
garudadhvaja - One who bears a flag with the garuda emblem
kamalakanta - Loved by Kamala (Kamala - ka mau lAti iti kamalA; one who brings the ma (jIvAtmA) to ka (paramAtmA))
trailokyam - the three worlds, bhUhu, bhavaha, svaha,
mangalam - prosperous
kuru - Make
Please wake up! O Sri Krishna who delights the cows and the mother earth! One who has Garuda on His Flag! One who is loved by Mother Kamala who is going to bring both of us together! Make the three worlds prosperous!
mataha - Mother
samsasta - All
jagatam - Worlds
madhukaitabhareh - One who killed madhu and kaitabha, Hayagriva
vaksoviharini - Resides on the Chest
manohara divyamurte - One whose divine form enchants everyones mind
srisvamini - My Lady (essentially one who owns me)
sritajanapriya - who is loved by people who surrenders to you
danasile - who his extremely charitable
sri-venkatesa-dayite - O darling of Venkatesa (Venkatasa - Lord of the Venkata Hills; Venkata - Vem (Sins) + Kata (Burn))
Tava suprabhatam - Good Morning to you!
O Mother of the Entire Universe! "The One" who resides on the Chest of Lord Hayagriva who killed Madhu and Kaitabha Asuras! One whose very Divine form enchants everyone! O Lady who owns everyone and is loved by everyone who surrenders to You! O greatest Philanthropist! O Darling of the Lord of the Seven Hills which can burn away all my Sins! A very Good Morning to You!